John needs to borrow $$36,000$ now to pay for some urgent personal expenses. He would like to

pay back the loan as a single lump sum amount $4$ years from now. USA Bank charges $15\%$ per year

compounded monthly on personal loans. EU Bank charges $14\%$ per year compounded daily on personal loans

but collects a $4\%($of the original loan amount$)$ administrative fee upfront. John requests the bank to roll the

administrative fee into the loan amount, i$.$e$.,$ lend him the original amount plus the administrative fee. Both

banks have agreed to a single lump sum payment at the end of four years. Which option should John choose

and why? Show all work